12381727824 has 80 divisors (see below), whose sum is σ = 35687914240. Its totient is φ = 4110082560.

The previous prime is 12381727811. The next prime is 12381727829. The reversal of 12381727824 is 42872718321.

It is a self number, because there is not a number n which added to its sum of digits gives 12381727824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12381727829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44649 + ... + 163575.

It is an arithmetic number, because the mean of its divisors is an integer number (446098928).

Almost surely, 2^12381727824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12381727824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17843957120).

12381727824 is an abundant number, since it is smaller than the sum of its proper divisors (23306186416).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12381727824 is a wasteful number, since it uses less digits than its factorization.

12381727824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119185 (or 119173 counting only the distinct ones).

The product of its digits is 301056, while the sum is 45.

The spelling of 12381727824 in words is "twelve billion, three hundred eighty-one million, seven hundred twenty-seven thousand, eight hundred twenty-four".